/* cchktb.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" #include "blaswrap.h" /* Common Block Declarations */ struct { integer infot, iounit; logical ok, lerr; } infoc_; #define infoc_1 infoc_ struct { char srnamt[32]; } srnamc_; #define srnamc_1 srnamc_ /* Table of constant values */ static complex c_b14 = {0.f,0.f}; static complex c_b15 = {1.f,0.f}; static integer c__1 = 1; static integer c__0 = 0; static integer c__3 = 3; static integer c_n1 = -1; static integer c__6 = 6; static integer c__4 = 4; static real c_b90 = 1.f; static integer c__7 = 7; static integer c__8 = 8; /* Subroutine */ int cchktb_(logical *dotype, integer *nn, integer *nval, integer *nns, integer *nsval, real *thresh, logical *tsterr, integer * nmax, complex *ab, complex *ainv, complex *b, complex *x, complex * xact, complex *work, real *rwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; static char uplos[1*2] = "U" "L"; static char transs[1*3] = "N" "T" "C"; /* Format strings */ static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002" "', DIAG='\002,a1,\002', N=\002,i5,\002, K" "D=\002,i5,\002, NRHS=\002,i5,\002, type \002,i2,\002, test(\002," "i2,\002)=\002,g12.5)"; static char fmt_9998[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', " "'\002,a1,\002',\002,i5,\002,\002,i5,\002, ... ), type \002,i2" ",\002, test(\002,i2,\002)=\002,g12.5)"; static char fmt_9997[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', " "'\002,a1,\002', '\002,a1,\002',\002,i5,\002,\002,i5,\002, ... )" ", type \002,i2,\002, test(\002,i1,\002)=\002,g12.5)"; /* System generated locals */ address a__1[3], a__2[4]; integer i__1, i__2, i__3, i__4, i__5, i__6[3], i__7[4]; char ch__1[3], ch__2[4]; /* Builtin functions */ /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen), s_cat(char *, char **, integer *, integer *, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Local variables */ integer i__, j, k, n, kd, ik, in, nk, lda, ldab; char diag[1]; integer imat, info; char path[3]; integer irhs, nrhs; char norm[1], uplo[1]; integer nrun; extern /* Subroutine */ int alahd_(integer *, char *); integer idiag; extern /* Subroutine */ int cget04_(integer *, integer *, complex *, integer *, complex *, integer *, real *, real *); real scale; integer nfail, iseed[4]; extern /* Subroutine */ int ctbt02_(char *, char *, char *, integer *, integer *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, complex *, real *, real *), ctbt03_(char *, char *, char *, integer *, integer *, integer *, complex *, integer *, real *, real *, real *, complex * , integer *, complex *, integer *, complex *, real *); extern logical lsame_(char *, char *); extern /* Subroutine */ int ctbt05_(char *, char *, char *, integer *, integer *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, real *, real *, real * ), ctbt06_(real *, real *, char *, char *, integer *, integer *, complex *, integer *, real *, real *); real rcond; integer nimat; real anorm; integer itran; extern /* Subroutine */ int ccopy_(integer *, complex *, integer *, complex *, integer *), ctbsv_(char *, char *, char *, integer *, integer *, complex *, integer *, complex *, integer *); char trans[1]; integer iuplo, nerrs; char xtype[1]; integer nimat2; extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); extern doublereal clantb_(char *, char *, char *, integer *, integer *, complex *, integer *, real *); real rcondc; extern /* Subroutine */ int clatbs_(char *, char *, char *, char *, integer *, integer *, complex *, integer *, complex *, real *, real *, integer *), clattb_( integer *, char *, char *, char *, integer *, integer *, integer * , complex *, integer *, complex *, complex *, real *, integer *), clacpy_(char *, integer *, integer *, complex *, integer *, complex *, integer *), clarhs_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, integer *, integer *), claset_(char *, integer *, integer *, complex *, complex *, complex *, integer *); real rcondi; extern /* Subroutine */ int ctbcon_(char *, char *, char *, integer *, integer *, complex *, integer *, real *, complex *, real *, integer *); extern doublereal clantr_(char *, char *, char *, integer *, integer *, complex *, integer *, real *); real rcondo; extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer *, integer *), ctbrfs_(char *, char *, char *, integer *, integer *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, real *, real *, complex *, real *, integer * ); real ainvnm; extern /* Subroutine */ int cerrtr_(char *, integer *), ctbtrs_( char *, char *, char *, integer *, integer *, integer *, complex * , integer *, complex *, integer *, integer *); real result[8]; /* Fortran I/O blocks */ static cilist io___39 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___41 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___43 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___44 = { 0, 0, 0, fmt_9997, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* CCHKTB tests CTBTRS, -RFS, and -CON, and CLATBS. */ /* Arguments */ /* ========= */ /* DOTYPE (input) LOGICAL array, dimension (NTYPES) */ /* The matrix types to be used for testing. Matrices of type j */ /* (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */ /* .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */ /* NN (input) INTEGER */ /* The number of values of N contained in the vector NVAL. */ /* NVAL (input) INTEGER array, dimension (NN) */ /* The values of the matrix column dimension N. */ /* NNS (input) INTEGER */ /* The number of values of NRHS contained in the vector NSVAL. */ /* NSVAL (input) INTEGER array, dimension (NNS) */ /* The values of the number of right hand sides NRHS. */ /* THRESH (input) REAL */ /* The threshold value for the test ratios. A result is */ /* included in the output file if RESULT >= THRESH. To have */ /* every test ratio printed, use THRESH = 0. */ /* TSTERR (input) LOGICAL */ /* Flag that indicates whether error exits are to be tested. */ /* NMAX (input) INTEGER */ /* The leading dimension of the work arrays. */ /* NMAX >= the maximum value of N in NVAL. */ /* AB (workspace) COMPLEX array, dimension (NMAX*NMAX) */ /* AINV (workspace) COMPLEX array, dimension (NMAX*NMAX) */ /* B (workspace) COMPLEX array, dimension (NMAX*NSMAX) */ /* where NSMAX is the largest entry in NSVAL. */ /* X (workspace) COMPLEX array, dimension (NMAX*NSMAX) */ /* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX) */ /* WORK (workspace) COMPLEX array, dimension */ /* (NMAX*max(3,NSMAX)) */ /* RWORK (workspace) REAL array, dimension */ /* (max(NMAX,2*NSMAX)) */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Data statements .. */ /* Parameter adjustments */ --rwork; --work; --xact; --x; --b; --ainv; --ab; --nsval; --nval; --dotype; /* Function Body */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17); s_copy(path + 1, "TB", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } /* Test the error exits */ if (*tsterr) { cerrtr_(path, nout); } infoc_1.infot = 0; i__1 = *nn; for (in = 1; in <= i__1; ++in) { /* Do for each value of N in NVAL */ n = nval[in]; lda = max(1,n); *(unsigned char *)xtype = 'N'; nimat = 9; nimat2 = 17; if (n <= 0) { nimat = 1; nimat2 = 10; } /* Computing MIN */ i__2 = n + 1; nk = min(i__2,4); i__2 = nk; for (ik = 1; ik <= i__2; ++ik) { /* Do for KD = 0, N, (3N-1)/4, and (N+1)/4. This order makes */ /* it easier to skip redundant values for small values of N. */ if (ik == 1) { kd = 0; } else if (ik == 2) { kd = max(n,0); } else if (ik == 3) { kd = (n * 3 - 1) / 4; } else if (ik == 4) { kd = (n + 1) / 4; } ldab = kd + 1; i__3 = nimat; for (imat = 1; imat <= i__3; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L90; } for (iuplo = 1; iuplo <= 2; ++iuplo) { /* Do first for UPLO = 'U', then for UPLO = 'L' */ *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; /* Call CLATTB to generate a triangular test matrix. */ s_copy(srnamc_1.srnamt, "CLATTB", (ftnlen)32, (ftnlen)6); clattb_(&imat, uplo, "No transpose", diag, iseed, &n, &kd, &ab[1], &ldab, &x[1], &work[1], &rwork[1], &info); /* Set IDIAG = 1 for non-unit matrices, 2 for unit. */ if (lsame_(diag, "N")) { idiag = 1; } else { idiag = 2; } /* Form the inverse of A so we can get a good estimate */ /* of RCONDC = 1/(norm(A) * norm(inv(A))). */ claset_("Full", &n, &n, &c_b14, &c_b15, &ainv[1], &lda); if (lsame_(uplo, "U")) { i__4 = n; for (j = 1; j <= i__4; ++j) { ctbsv_(uplo, "No transpose", diag, &j, &kd, &ab[1] , &ldab, &ainv[(j - 1) * lda + 1], &c__1); /* L20: */ } } else { i__4 = n; for (j = 1; j <= i__4; ++j) { i__5 = n - j + 1; ctbsv_(uplo, "No transpose", diag, &i__5, &kd, & ab[(j - 1) * ldab + 1], &ldab, &ainv[(j - 1) * lda + j], &c__1); /* L30: */ } } /* Compute the 1-norm condition number of A. */ anorm = clantb_("1", uplo, diag, &n, &kd, &ab[1], &ldab, & rwork[1]); ainvnm = clantr_("1", uplo, diag, &n, &n, &ainv[1], &lda, &rwork[1]); if (anorm <= 0.f || ainvnm <= 0.f) { rcondo = 1.f; } else { rcondo = 1.f / anorm / ainvnm; } /* Compute the infinity-norm condition number of A. */ anorm = clantb_("I", uplo, diag, &n, &kd, &ab[1], &ldab, & rwork[1]); ainvnm = clantr_("I", uplo, diag, &n, &n, &ainv[1], &lda, &rwork[1]); if (anorm <= 0.f || ainvnm <= 0.f) { rcondi = 1.f; } else { rcondi = 1.f / anorm / ainvnm; } i__4 = *nns; for (irhs = 1; irhs <= i__4; ++irhs) { nrhs = nsval[irhs]; *(unsigned char *)xtype = 'N'; for (itran = 1; itran <= 3; ++itran) { /* Do for op(A) = A, A**T, or A**H. */ *(unsigned char *)trans = *(unsigned char *)& transs[itran - 1]; if (itran == 1) { *(unsigned char *)norm = 'O'; rcondc = rcondo; } else { *(unsigned char *)norm = 'I'; rcondc = rcondi; } /* + TEST 1 */ /* Solve and compute residual for op(A)*x = b. */ s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)32, ( ftnlen)6); clarhs_(path, xtype, uplo, trans, &n, &n, &kd, & idiag, &nrhs, &ab[1], &ldab, &xact[1], & lda, &b[1], &lda, iseed, &info); *(unsigned char *)xtype = 'C'; clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], & lda); s_copy(srnamc_1.srnamt, "CTBTRS", (ftnlen)32, ( ftnlen)6); ctbtrs_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1], &ldab, &x[1], &lda, &info); /* Check error code from CTBTRS. */ if (info != 0) { /* Writing concatenation */ i__6[0] = 1, a__1[0] = uplo; i__6[1] = 1, a__1[1] = trans; i__6[2] = 1, a__1[2] = diag; s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3); alaerh_(path, "CTBTRS", &info, &c__0, ch__1, & n, &n, &kd, &kd, &nrhs, &imat, &nfail, &nerrs, nout); } ctbt02_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1], &ldab, &x[1], &lda, &b[1], &lda, &work[1] , &rwork[1], result); /* + TEST 2 */ /* Check solution from generated exact solution. */ cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, & rcondc, &result[1]); /* + TESTS 3, 4, and 5 */ /* Use iterative refinement to improve the solution */ /* and compute error bounds. */ s_copy(srnamc_1.srnamt, "CTBRFS", (ftnlen)32, ( ftnlen)6); ctbrfs_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1], &ldab, &b[1], &lda, &x[1], &lda, &rwork[ 1], &rwork[nrhs + 1], &work[1], &rwork[( nrhs << 1) + 1], &info); /* Check error code from CTBRFS. */ if (info != 0) { /* Writing concatenation */ i__6[0] = 1, a__1[0] = uplo; i__6[1] = 1, a__1[1] = trans; i__6[2] = 1, a__1[2] = diag; s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3); alaerh_(path, "CTBRFS", &info, &c__0, ch__1, & n, &n, &kd, &kd, &nrhs, &imat, &nfail, &nerrs, nout); } cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, & rcondc, &result[2]); ctbt05_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1], &ldab, &b[1], &lda, &x[1], &lda, &xact[1] , &lda, &rwork[1], &rwork[nrhs + 1], & result[3]); /* Print information about the tests that did not */ /* pass the threshold. */ for (k = 1; k <= 5; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___39.ciunit = *nout; s_wsfe(&io___39); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, diag, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&kd, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&nrhs, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&imat, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&k, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&result[k - 1], ( ftnlen)sizeof(real)); e_wsfe(); ++nfail; } /* L40: */ } nrun += 5; /* L50: */ } /* L60: */ } /* + TEST 6 */ /* Get an estimate of RCOND = 1/CNDNUM. */ for (itran = 1; itran <= 2; ++itran) { if (itran == 1) { *(unsigned char *)norm = 'O'; rcondc = rcondo; } else { *(unsigned char *)norm = 'I'; rcondc = rcondi; } s_copy(srnamc_1.srnamt, "CTBCON", (ftnlen)32, (ftnlen) 6); ctbcon_(norm, uplo, diag, &n, &kd, &ab[1], &ldab, & rcond, &work[1], &rwork[1], &info); /* Check error code from CTBCON. */ if (info != 0) { /* Writing concatenation */ i__6[0] = 1, a__1[0] = norm; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = diag; s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3); alaerh_(path, "CTBCON", &info, &c__0, ch__1, &n, & n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs, nout); } ctbt06_(&rcond, &rcondc, uplo, diag, &n, &kd, &ab[1], &ldab, &rwork[1], &result[5]); /* Print the test ratio if it is .GE. THRESH. */ if (result[5] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___41.ciunit = *nout; s_wsfe(&io___41); do_fio(&c__1, "CTBCON", (ftnlen)6); do_fio(&c__1, norm, (ftnlen)1); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, diag, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer) ); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&c__6, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&result[5], (ftnlen)sizeof( real)); e_wsfe(); ++nfail; } ++nrun; /* L70: */ } /* L80: */ } L90: ; } /* Use pathological test matrices to test CLATBS. */ i__3 = nimat2; for (imat = 10; imat <= i__3; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L120; } for (iuplo = 1; iuplo <= 2; ++iuplo) { /* Do first for UPLO = 'U', then for UPLO = 'L' */ *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; for (itran = 1; itran <= 3; ++itran) { /* Do for op(A) = A, A**T, and A**H. */ *(unsigned char *)trans = *(unsigned char *)&transs[ itran - 1]; /* Call CLATTB to generate a triangular test matrix. */ s_copy(srnamc_1.srnamt, "CLATTB", (ftnlen)32, (ftnlen) 6); clattb_(&imat, uplo, trans, diag, iseed, &n, &kd, &ab[ 1], &ldab, &x[1], &work[1], &rwork[1], &info); /* + TEST 7 */ /* Solve the system op(A)*x = b */ s_copy(srnamc_1.srnamt, "CLATBS", (ftnlen)32, (ftnlen) 6); ccopy_(&n, &x[1], &c__1, &b[1], &c__1); clatbs_(uplo, trans, diag, "N", &n, &kd, &ab[1], & ldab, &b[1], &scale, &rwork[1], &info); /* Check error code from CLATBS. */ if (info != 0) { /* Writing concatenation */ i__7[0] = 1, a__2[0] = uplo; i__7[1] = 1, a__2[1] = trans; i__7[2] = 1, a__2[2] = diag; i__7[3] = 1, a__2[3] = "N"; s_cat(ch__2, a__2, i__7, &c__4, (ftnlen)4); alaerh_(path, "CLATBS", &info, &c__0, ch__2, &n, & n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs, nout); } ctbt03_(uplo, trans, diag, &n, &kd, &c__1, &ab[1], & ldab, &scale, &rwork[1], &c_b90, &b[1], &lda, &x[1], &lda, &work[1], &result[6]); /* + TEST 8 */ /* Solve op(A)*x = b again with NORMIN = 'Y'. */ ccopy_(&n, &x[1], &c__1, &b[1], &c__1); clatbs_(uplo, trans, diag, "Y", &n, &kd, &ab[1], & ldab, &b[1], &scale, &rwork[1], &info); /* Check error code from CLATBS. */ if (info != 0) { /* Writing concatenation */ i__7[0] = 1, a__2[0] = uplo; i__7[1] = 1, a__2[1] = trans; i__7[2] = 1, a__2[2] = diag; i__7[3] = 1, a__2[3] = "Y"; s_cat(ch__2, a__2, i__7, &c__4, (ftnlen)4); alaerh_(path, "CLATBS", &info, &c__0, ch__2, &n, & n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs, nout); } ctbt03_(uplo, trans, diag, &n, &kd, &c__1, &ab[1], & ldab, &scale, &rwork[1], &c_b90, &b[1], &lda, &x[1], &lda, &work[1], &result[7]); /* Print information about the tests that did not pass */ /* the threshold. */ if (result[6] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___43.ciunit = *nout; s_wsfe(&io___43); do_fio(&c__1, "CLATBS", (ftnlen)6); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, diag, (ftnlen)1); do_fio(&c__1, "N", (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer) ); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&c__7, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof( real)); e_wsfe(); ++nfail; } if (result[7] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___44.ciunit = *nout; s_wsfe(&io___44); do_fio(&c__1, "CLATBS", (ftnlen)6); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, diag, (ftnlen)1); do_fio(&c__1, "Y", (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer) ); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof( real)); e_wsfe(); ++nfail; } nrun += 2; /* L100: */ } /* L110: */ } L120: ; } /* L130: */ } /* L140: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of CCHKTB */ } /* cchktb_ */